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Sagot :
Answer:
y = -108/5
Step-by-step explanation:
An inverse variation is xy = k where k is a constant
xy =k
6*-18 = k
-108 = k
xy = -108
Let x = 5
5y = -108
Divide by 5
y = -108/5
Problem:
- if y varies inversely with x and y.= -18 when x = 6, find y when x = 5?
Answer:
- [tex] \huge \: \boxed{y = - 21.6}[/tex]
Formula:
- [tex] \boxed{y = \frac{k}{x} }[/tex]
To find k use the given condition:
Given that:
- [tex]y = -18 [/tex]
- [tex]x = 6[/tex]
Lets try!
- [tex]\:y = \frac{k}{x} \: \: ➡ \: \: \boxed{ k \ = yx}[/tex]
- [tex]yx = - 18 \times 6 = \boxed{- 108}[/tex]
Equation is:
- [tex] \boxed{y = {\frac{ - 108}{ \: x}}}[/tex]
When x = 5 then,
- [tex]\huge{y = \frac{ - 108}{ \: 5}} [/tex]
- [tex] \huge\boxed{y = - 21.6}[/tex]
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